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Finding the Fourth Proportional to 8,547.76, 11,795.16 and 4,770.64

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Solution

The fourth proportional to 8,547.76, 11,795.16 and 4,770.64 is: 6,583.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.76 : 11,795.16 = 4,770.64 : x
  2. Step 2: Convert to fraction form
    8,547.76/11,795.16 = 4,770.64/x
  3. Step 3: Cross multiply
    8,547.76x = 11,795.16 × 4,770.64
  4. Step 4: Simplify right side
    8,547.76x = 56,270,462.10
  5. Step 5: Solve for x
    x = 56,270,462.10/8,547.76
  6. Step 6: Final answer
    x = 6,583.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.